Question

A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $1,253.07, and the tax rate in the area is 7.1%, what was the pre-tax subtotal?

Answer 1

To answer this question, we can proceed as follows:

1. We have that the after-tax total was $1,253.07.

2. We have that the tax rate in the area is 7.1%.

3. Then to find the pre-tax subtotal, we can proceed as follows:

`7.1\%=(7.1)/(100)=0.071`

Therefore, we have:

`x+0.071x=1253.07`

4. Finally, we need to add the like terms as follows:

`1.071x=1253.07`

And using technology, we can divide both sides by 1.071:

`\begin{gathered} (1.071)/(1.071)x=(1253.07)/(1.071) \\ \\ x=1170 \\ \end{gathered}`

Therefore, the pre-tax subtotal is $1,170.